Use the Trigonometric Substitution U = a Sin $\theta$ , Where -

question 90

Multiple Choice

Use the trigonometric substitution u = a sin $\theta$ , where - $\pi$ /2 < $\theta$ < $\pi$ /2 and a > 0 to simplify the expression $\sqrt { a ^ { 2 } - u ^ { 2 } }$ .

• A) a csc \(\theta \)
• B) a sin \(\theta \)
• C) a tan \(\theta \)
• D) a cos \(\theta \)
• E) - a cos \(\theta \)

---

Definitions:

Assignable Variation

Variation in a process that can be traced to specific causes, as opposed to random variation.

Specific Events

Distinct occurrences or outcomes with defined characteristics, often analyzed in probability and statistical studies.

Chance Variation

Random fluctuations in data or experimental results due to unpredictable factors.

Process

A series of actions or steps taken to achieve a particular end.